Harish-Chandra developed harmonic analysis on semisimple Lie groups to prove his analogue of Plancherel theorem. His tehniques were analytic in nature. Beilinson and Bernstein developed the localization theory of representations of such groups to prove the Kazhdan-Lusztig conjectures using D-module theory. We are going to discuss, in non-technical terms, how the methods of the latter can simplify and amplify some arguments in the former.
University of Utah
Tuesday 31 October 2023, 12:00 noon
Room 4082, Anita B. Lawrence